Geometry Honors

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Oct 10, 2013 (3 years and 11 months ago)

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Geometry Honors

Text:
Moise and Downs
.
Geometry
. Addison Wesley Publishing Co.

Updated 8/2012

First Marking Period

Chp1: Precise Reasoning

1.1 Vocabulary

1.2 Reasoning


Chp 2: Sets, Real numbers and Lines

2.1Sets

2.2 Order

2.3Absolut
e Value

2.4 Distance

2.5 First Postulates

2.6 Betweenness, Segments and Rays


Chp 3: Lines, Planes, and Separation

3.1 Drawing Accurately

3.2 Postulates (of lines and planes)

3.3 More Postulates…

3.4 Convex Sets and Separation

3.5 Graph Theory


Chp 4: Angl
es and Triangles

4.1 Vocabulary

4.2 Measurement of Angles

4.3 Other systems of measurement
(optional)

4.4 Perpendicularity and Congruence

4.5 Equivalence Relations

4.6 Theorems about angles

4.7 Vertical angles

4.8 Related Statements


Simple and Compo
und

4.9 Proofs


Chp 5: Congruence

5.1 Correspondence vs Congruence

5.2 Triangle Congruence

5.3 Congruent Triangle Postulates

5.4 Proof

5.5 More Proofs

5.6 angle bisectors

5.7 Isosceles and equilateral triangles

5.8 Converses



5.9 Overlapping triangles

5.1
0 Quadrilaterals, medians and
bisectors


Second Marking Period

Ch 6: Logic and Indirect Proof

6.1 Deduction

Session on Logic

6.2 Indirect Proofs

6.3 Theorems on Lines and Planes

6.4 Perpendiculars

6.5 Auxiliary Sets

6.6 Proving ASA and SSS (opt.)


Chp 7:

Inequality Theorems

7.1 Conjectures

7.2 Inequality for numbers, segments
and angles

7.3 Exterior angle Thm

7.4 Corollaries of the ext. angle thm

7.5 Single triangle ≠ thms.

7.6 Distance between a pt and a line


“Around the Block” thm.

7.7 Hinge Thms

7.8 Altitudes


Ch 8: Perpendicular lines and Planes


(in space)

8.1 Definition of Line Perp. To a Plane

8.2 Basic theorem on Perpendi
culars

8.3 Existence and Uniqueness

8.4 Summary


Ch 9: Parallel Lines

9.1 Guaranteeing lines are parallel

9.2 More…

9.3 The Parallel Postulate

9.4 Triangles

9.5 Quadrilaterals

9.6 “Special” Quadrilaterals

9.7 Right Triangle Thms



9.8 Parallel Lines interc
epting
transversals

9.9 Median Concurrence


Third Marking Period

Ch 10: Parallel Lines and Planes

10.1 Basic Facts

10.2 Dihedral angles

10.3 Projections


Ch 11: Polygonal Regions and Area

11.1 Definitions

11.2 Area

11.3 The Pythagorean Thm.

11.4 “Special”

triangles


Ch 12: Similarity

12.1 Definitions

12.2 Definitions continued

12.3 Basic Proportionality Thms

12.4 Similarity Thms

12.5 Similarity in Right triangles

12.6 Area of Similar figures


Ch 13: Coordinate Geometry

Chosen problems from various sections

done through referencing algebra
knowledge


Ch 14: Circles and Spheres

14.1 Basic Definitions

14.2 Tangent Lines…

14.3 Tangent Planes…

14.4 Arcs

14.5 Angles related to circles

14.6 More angles…

14.7 Power Thms

14.8 Circles in a coord. Plane (optional)




Fourth Marking Period


Ch 16: Polygons, Circles and Sectors

16.1 Definition of polygons

16.2 Regular Polygons

16.3 Circumference

16.4 Area

16.5 Sectors and Arclength


Ch 17: Trigonometry

17.1 Trigonometric Ratios

17.2 Calculating unknown sides


and

angles



Ch 18: Transformational Geometry

18.1 Transformations

18.2 Symmetry and Reflections

18.3 Reflection and Translation


Ch 19: Solid Geometry

Note: be sure to use the word “net”

When discussing surface area

19.1 Prisms

19.2 Pyramids

19.3 Cavalieri
’s Principle

19.4 Cylinders and Cones

19.5 Spheres


Ch 15: Loci and Concurrence

15.1 Definitions of Loci

15.2 More…

15.3


15.5 Concurrence Thms

15.9 Inscribed and Circumscribed
figures

15.6


15.8 Constructions (optional
throughout)